101110220202112 has 256 divisors, whose sum is σ = 225595017768960. Its totient is φ = 44745714688000.

The previous prime is 101110220202073. The next prime is 101110220202133. The reversal of 101110220202112 is 211202022011101.

It is a super-2 number, since 2×101110220202112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25852777437 + ... + 25852781347.

It is an arithmetic number, because the mean of its divisors is an integer number (881230538160).

Almost surely, 2^{101110220202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101110220202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112797508884480).

101110220202112 is an abundant number, since it is smaller than the sum of its proper divisors (124484797566848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101110220202112 is a wasteful number, since it uses less digits than its factorization.

101110220202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5931 (or 5919 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101110220202112 its reverse (211202022011101), we get a palindrome (312312242213213).

The spelling of 101110220202112 in words is "one hundred one trillion, one hundred ten billion, two hundred twenty million, two hundred two thousand, one hundred twelve".